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physics.flu-dyn2012★ 2 cited
Resolvent methods for steady premixed flame shapes governed by the Zhdanov-Trubnikov equation
Gaëtan Borot, Bruno Denet, Guy Joulin
Using pole decompositions as starting points, the one parameter (-1 =< c < 1) nonlocal and nonlinear Zhdanov-Trubnikov (ZT) equation for the steady shapes of premixed gaseous flame…
nlin.PS2012★ 3 cited
Flame Wrinkles From the Zhdanov-Trubnikov Equation
Guy Joulin, Bruno Denet
The Zhdanov-Trubnikov equation describing wrinkled premixed flames is studied, using pole-decompositions as starting points. Its one-parameter (-1< c <1) nonlinearity generalizes t…